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Finding the Fourth Proportional to 520,257.60, 780,386.40 and 146,280.60

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Solution

The fourth proportional to 520,257.60, 780,386.40 and 146,280.60 is: 219,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,257.60 : 780,386.40 = 146,280.60 : x
  2. Step 2: Convert to fraction form
    520,257.60/780,386.40 = 146,280.60/x
  3. Step 3: Cross multiply
    520,257.60x = 780,386.40 × 146,280.60
  4. Step 4: Simplify right side
    520,257.60x = 114,155,390,823.84
  5. Step 5: Solve for x
    x = 114,155,390,823.84/520,257.60
  6. Step 6: Final answer
    x = 219,420.90

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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.