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Finding the Fourth Proportional to 514,545.84, 710,080.80 and 299,680.32

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Solution

The fourth proportional to 514,545.84, 710,080.80 and 299,680.32 is: 413,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,545.84 : 710,080.80 = 299,680.32 : x
  2. Step 2: Convert to fraction form
    514,545.84/710,080.80 = 299,680.32/x
  3. Step 3: Cross multiply
    514,545.84x = 710,080.80 × 299,680.32
  4. Step 4: Simplify right side
    514,545.84x = 212,797,241,369.86
  5. Step 5: Solve for x
    x = 212,797,241,369.86/514,545.84
  6. Step 6: Final answer
    x = 413,563.23

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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.