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Finding the Fourth Proportional to 427,234,953.60, 640,852,430.40 and 265,991,817.60

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Solution

The fourth proportional to 427,234,953.60, 640,852,430.40 and 265,991,817.60 is: 398,987,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,234,953.60 : 640,852,430.40 = 265,991,817.60 : x
  2. Step 2: Convert to fraction form
    427,234,953.60/640,852,430.40 = 265,991,817.60/x
  3. Step 3: Cross multiply
    427,234,953.60x = 640,852,430.40 × 265,991,817.60
  4. Step 4: Simplify right side
    427,234,953.60x = 170,461,502,775,473,472
  5. Step 5: Solve for x
    x = 170,461,502,775,473,472/427,234,953.60
  6. Step 6: Final answer
    x = 398,987,726.40

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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.