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Finding the Fourth Proportional to 346,504, 478,175.76 and 187,528

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Solution

The fourth proportional to 346,504, 478,175.76 and 187,528 is: 258,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,504 : 478,175.76 = 187,528 : x
  2. Step 2: Convert to fraction form
    346,504/478,175.76 = 187,528/x
  3. Step 3: Cross multiply
    346,504x = 478,175.76 × 187,528
  4. Step 4: Simplify right side
    346,504x = 89,671,343,921.28
  5. Step 5: Solve for x
    x = 89,671,343,921.28/346,504
  6. Step 6: Final answer
    x = 258,788.77

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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.