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Finding the Fourth Proportional to 516,447, 774,670.68 and 142,470

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Solution

The fourth proportional to 516,447, 774,670.68 and 142,470 is: 213,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,447 : 774,670.68 = 142,470 : x
  2. Step 2: Convert to fraction form
    516,447/774,670.68 = 142,470/x
  3. Step 3: Cross multiply
    516,447x = 774,670.68 × 142,470
  4. Step 4: Simplify right side
    516,447x = 110,367,331,779.60
  5. Step 5: Solve for x
    x = 110,367,331,779.60/516,447
  6. Step 6: Final answer
    x = 213,705.05

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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.