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Finding the Fourth Proportional to 517,457.79, 776,132.08 and 138,416.77

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Solution

The fourth proportional to 517,457.79, 776,132.08 and 138,416.77 is: 207,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,457.79 : 776,132.08 = 138,416.77 : x
  2. Step 2: Convert to fraction form
    517,457.79/776,132.08 = 138,416.77/x
  3. Step 3: Cross multiply
    517,457.79x = 776,132.08 × 138,416.77
  4. Step 4: Simplify right side
    517,457.79x = 107,429,695,606.98
  5. Step 5: Solve for x
    x = 107,429,695,606.98/517,457.79
  6. Step 6: Final answer
    x = 207,610.55

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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.