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Finding the Fourth Proportional to 285,678.68, 428,547.20 and 98,665.88

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Solution

The fourth proportional to 285,678.68, 428,547.20 and 98,665.88 is: 148,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,678.68 : 428,547.20 = 98,665.88 : x
  2. Step 2: Convert to fraction form
    285,678.68/428,547.20 = 98,665.88/x
  3. Step 3: Cross multiply
    285,678.68x = 428,547.20 × 98,665.88
  4. Step 4: Simplify right side
    285,678.68x = 42,282,983,973.47
  5. Step 5: Solve for x
    x = 42,282,983,973.47/285,678.68
  6. Step 6: Final answer
    x = 148,008.89

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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.