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Finding the Fourth Proportional to 517,948.95, 714,879.81 and 348,084.66

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Solution

The fourth proportional to 517,948.95, 714,879.81 and 348,084.66 is: 480,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,948.95 : 714,879.81 = 348,084.66 : x
  2. Step 2: Convert to fraction form
    517,948.95/714,879.81 = 348,084.66/x
  3. Step 3: Cross multiply
    517,948.95x = 714,879.81 × 348,084.66
  4. Step 4: Simplify right side
    517,948.95x = 248,838,695,604.72
  5. Step 5: Solve for x
    x = 248,838,695,604.72/517,948.95
  6. Step 6: Final answer
    x = 480,430.93

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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.