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Finding the Fourth Proportional to 507,488.91, 700,301.86 and 278,045.88

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Solution

The fourth proportional to 507,488.91, 700,301.86 and 278,045.88 is: 383,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,488.91 : 700,301.86 = 278,045.88 : x
  2. Step 2: Convert to fraction form
    507,488.91/700,301.86 = 278,045.88/x
  3. Step 3: Cross multiply
    507,488.91x = 700,301.86 × 278,045.88
  4. Step 4: Simplify right side
    507,488.91x = 194,716,046,929.34
  5. Step 5: Solve for x
    x = 194,716,046,929.34/507,488.91
  6. Step 6: Final answer
    x = 383,685.32

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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.