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Finding the Fourth Proportional to 506,448.16, 698,886.50 and 280,088.80

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Solution

The fourth proportional to 506,448.16, 698,886.50 and 280,088.80 is: 386,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,448.16 : 698,886.50 = 280,088.80 : x
  2. Step 2: Convert to fraction form
    506,448.16/698,886.50 = 280,088.80/x
  3. Step 3: Cross multiply
    506,448.16x = 698,886.50 × 280,088.80
  4. Step 4: Simplify right side
    506,448.16x = 195,750,281,121.20
  5. Step 5: Solve for x
    x = 195,750,281,121.20/506,448.16
  6. Step 6: Final answer
    x = 386,515.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.