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Finding the Fourth Proportional to 346,465, 478,121.70 and 187,489

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Solution

The fourth proportional to 346,465, 478,121.70 and 187,489 is: 258,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,465 : 478,121.70 = 187,489 : x
  2. Step 2: Convert to fraction form
    346,465/478,121.70 = 187,489/x
  3. Step 3: Cross multiply
    346,465x = 478,121.70 × 187,489
  4. Step 4: Simplify right side
    346,465x = 89,642,559,411.30
  5. Step 5: Solve for x
    x = 89,642,559,411.30/346,465
  6. Step 6: Final answer
    x = 258,734.82

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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.