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Finding the Fourth Proportional to 346,624, 478,341.12 and 187,648

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Solution

The fourth proportional to 346,624, 478,341.12 and 187,648 is: 258,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,624 : 478,341.12 = 187,648 : x
  2. Step 2: Convert to fraction form
    346,624/478,341.12 = 187,648/x
  3. Step 3: Cross multiply
    346,624x = 478,341.12 × 187,648
  4. Step 4: Simplify right side
    346,624x = 89,759,754,485.76
  5. Step 5: Solve for x
    x = 89,759,754,485.76/346,624
  6. Step 6: Final answer
    x = 258,954.24

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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.