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Finding the Fourth Proportional to 346,478, 478,139.88 and 187,502

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Solution

The fourth proportional to 346,478, 478,139.88 and 187,502 is: 258,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,478 : 478,139.88 = 187,502 : x
  2. Step 2: Convert to fraction form
    346,478/478,139.88 = 187,502/x
  3. Step 3: Cross multiply
    346,478x = 478,139.88 × 187,502
  4. Step 4: Simplify right side
    346,478x = 89,652,183,779.76
  5. Step 5: Solve for x
    x = 89,652,183,779.76/346,478
  6. Step 6: Final answer
    x = 258,752.89

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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.