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Finding the Fourth Proportional to 516,671.36, 713,070.24 and 290,312

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Solution

The fourth proportional to 516,671.36, 713,070.24 and 290,312 is: 400,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,671.36 : 713,070.24 = 290,312 : x
  2. Step 2: Convert to fraction form
    516,671.36/713,070.24 = 290,312/x
  3. Step 3: Cross multiply
    516,671.36x = 713,070.24 × 290,312
  4. Step 4: Simplify right side
    516,671.36x = 207,012,847,514.88
  5. Step 5: Solve for x
    x = 207,012,847,514.88/516,671.36
  6. Step 6: Final answer
    x = 400,666.39

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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.