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Finding the Fourth Proportional to 348,788, 523,186.92 and 99,470

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Solution

The fourth proportional to 348,788, 523,186.92 and 99,470 is: 149,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,788 : 523,186.92 = 99,470 : x
  2. Step 2: Convert to fraction form
    348,788/523,186.92 = 99,470/x
  3. Step 3: Cross multiply
    348,788x = 523,186.92 × 99,470
  4. Step 4: Simplify right side
    348,788x = 52,041,402,932.40
  5. Step 5: Solve for x
    x = 52,041,402,932.40/348,788
  6. Step 6: Final answer
    x = 149,206.40

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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.