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Finding the Fourth Proportional to 346,513, 478,187.94 and 187,537

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Solution

The fourth proportional to 346,513, 478,187.94 and 187,537 is: 258,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,513 : 478,187.94 = 187,537 : x
  2. Step 2: Convert to fraction form
    346,513/478,187.94 = 187,537/x
  3. Step 3: Cross multiply
    346,513x = 478,187.94 × 187,537
  4. Step 4: Simplify right side
    346,513x = 89,677,931,703.78
  5. Step 5: Solve for x
    x = 89,677,931,703.78/346,513
  6. Step 6: Final answer
    x = 258,801.06

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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.