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Finding the Fourth Proportional to 517,458.93, 776,133.80 and 138,417.93

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Solution

The fourth proportional to 517,458.93, 776,133.80 and 138,417.93 is: 207,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,458.93 : 776,133.80 = 138,417.93 : x
  2. Step 2: Convert to fraction form
    517,458.93/776,133.80 = 138,417.93/x
  3. Step 3: Cross multiply
    517,458.93x = 776,133.80 × 138,417.93
  4. Step 4: Simplify right side
    517,458.93x = 107,430,830,551.70
  5. Step 5: Solve for x
    x = 107,430,830,551.70/517,458.93
  6. Step 6: Final answer
    x = 207,612.28

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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.