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Finding the Fourth Proportional to 509,702.32, 703,407.18 and 280,277.08

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Solution

The fourth proportional to 509,702.32, 703,407.18 and 280,277.08 is: 386,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,702.32 : 703,407.18 = 280,277.08 : x
  2. Step 2: Convert to fraction form
    509,702.32/703,407.18 = 280,277.08/x
  3. Step 3: Cross multiply
    509,702.32x = 703,407.18 × 280,277.08
  4. Step 4: Simplify right side
    509,702.32x = 197,148,910,461.43
  5. Step 5: Solve for x
    x = 197,148,910,461.43/509,702.32
  6. Step 6: Final answer
    x = 386,792.26

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1.5x scale

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.