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Finding the Fourth Proportional to 346,590, 478,294.20 and 187,614

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Solution

The fourth proportional to 346,590, 478,294.20 and 187,614 is: 258,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,590 : 478,294.20 = 187,614 : x
  2. Step 2: Convert to fraction form
    346,590/478,294.20 = 187,614/x
  3. Step 3: Cross multiply
    346,590x = 478,294.20 × 187,614
  4. Step 4: Simplify right side
    346,590x = 89,734,688,038.80
  5. Step 5: Solve for x
    x = 89,734,688,038.80/346,590
  6. Step 6: Final answer
    x = 258,907.32

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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.