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Finding the Fourth Proportional to 495,838.40, 744,535.20 and 285,886.40

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Solution

The fourth proportional to 495,838.40, 744,535.20 and 285,886.40 is: 429,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,838.40 : 744,535.20 = 285,886.40 : x
  2. Step 2: Convert to fraction form
    495,838.40/744,535.20 = 285,886.40/x
  3. Step 3: Cross multiply
    495,838.40x = 744,535.20 × 285,886.40
  4. Step 4: Simplify right side
    495,838.40x = 212,852,488,001.28
  5. Step 5: Solve for x
    x = 212,852,488,001.28/495,838.40
  6. Step 6: Final answer
    x = 429,277.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.