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Finding the Fourth Proportional to 653,981, 979,547.52 and 316,309.42

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Solution

The fourth proportional to 653,981, 979,547.52 and 316,309.42 is: 473,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,981 : 979,547.52 = 316,309.42 : x
  2. Step 2: Convert to fraction form
    653,981/979,547.52 = 316,309.42/x
  3. Step 3: Cross multiply
    653,981x = 979,547.52 × 316,309.42
  4. Step 4: Simplify right side
    653,981x = 309,840,107,913.64
  5. Step 5: Solve for x
    x = 309,840,107,913.64/653,981
  6. Step 6: Final answer
    x = 473,775.40

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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.