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Finding the Fourth Proportional to 420,726.98, 631,320.10 and 243,579.98

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Solution

The fourth proportional to 420,726.98, 631,320.10 and 243,579.98 is: 365,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,726.98 : 631,320.10 = 243,579.98 : x
  2. Step 2: Convert to fraction form
    420,726.98/631,320.10 = 243,579.98/x
  3. Step 3: Cross multiply
    420,726.98x = 631,320.10 × 243,579.98
  4. Step 4: Simplify right side
    420,726.98x = 153,776,938,300.95
  5. Step 5: Solve for x
    x = 153,776,938,300.95/420,726.98
  6. Step 6: Final answer
    x = 365,502.91

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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.