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Finding the Fourth Proportional to 978,432,257.60, 1,467,648,386.40 and 903,605,364.80

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Solution

The fourth proportional to 978,432,257.60, 1,467,648,386.40 and 903,605,364.80 is: 1,355,408,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,432,257.60 : 1,467,648,386.40 = 903,605,364.80 : x
  2. Step 2: Convert to fraction form
    978,432,257.60/1,467,648,386.40 = 903,605,364.80/x
  3. Step 3: Cross multiply
    978,432,257.60x = 1,467,648,386.40 × 903,605,364.80
  4. Step 4: Simplify right side
    978,432,257.60x = 1,326,174,955,591,103,488
  5. Step 5: Solve for x
    x = 1,326,174,955,591,103,488/978,432,257.60
  6. Step 6: Final answer
    x = 1,355,408,047.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.