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Finding the Fourth Proportional to 514,695.49, 710,308.10 and 285,248

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Solution

The fourth proportional to 514,695.49, 710,308.10 and 285,248 is: 393,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,695.49 : 710,308.10 = 285,248 : x
  2. Step 2: Convert to fraction form
    514,695.49/710,308.10 = 285,248/x
  3. Step 3: Cross multiply
    514,695.49x = 710,308.10 × 285,248
  4. Step 4: Simplify right side
    514,695.49x = 202,613,964,908.80
  5. Step 5: Solve for x
    x = 202,613,964,908.80/514,695.49
  6. Step 6: Final answer
    x = 393,657.94

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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.