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Finding the Fourth Proportional to 304,902.40, 457,612.80 and 136,681.60

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Solution

The fourth proportional to 304,902.40, 457,612.80 and 136,681.60 is: 205,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,902.40 : 457,612.80 = 136,681.60 : x
  2. Step 2: Convert to fraction form
    304,902.40/457,612.80 = 136,681.60/x
  3. Step 3: Cross multiply
    304,902.40x = 457,612.80 × 136,681.60
  4. Step 4: Simplify right side
    304,902.40x = 62,547,249,684.48
  5. Step 5: Solve for x
    x = 62,547,249,684.48/304,902.40
  6. Step 6: Final answer
    x = 205,138.59

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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.