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Finding the Fourth Proportional to 514,842.88, 710,502.40 and 288,480

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Solution

The fourth proportional to 514,842.88, 710,502.40 and 288,480 is: 398,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,842.88 : 710,502.40 = 288,480 : x
  2. Step 2: Convert to fraction form
    514,842.88/710,502.40 = 288,480/x
  3. Step 3: Cross multiply
    514,842.88x = 710,502.40 × 288,480
  4. Step 4: Simplify right side
    514,842.88x = 204,965,732,352
  5. Step 5: Solve for x
    x = 204,965,732,352/514,842.88
  6. Step 6: Final answer
    x = 398,113.17

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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.