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Finding the Fourth Proportional to 421,417.08, 631,830.17 and 155,142.95

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Solution

The fourth proportional to 421,417.08, 631,830.17 and 155,142.95 is: 232,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,417.08 : 631,830.17 = 155,142.95 : x
  2. Step 2: Convert to fraction form
    421,417.08/631,830.17 = 155,142.95/x
  3. Step 3: Cross multiply
    421,417.08x = 631,830.17 × 155,142.95
  4. Step 4: Simplify right side
    421,417.08x = 98,023,993,701.51
  5. Step 5: Solve for x
    x = 98,023,993,701.51/421,417.08
  6. Step 6: Final answer
    x = 232,605.65

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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.