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Finding the Fourth Proportional to 513,008.64, 707,950.44 and 286,654.32

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Solution

The fourth proportional to 513,008.64, 707,950.44 and 286,654.32 is: 395,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,008.64 : 707,950.44 = 286,654.32 : x
  2. Step 2: Convert to fraction form
    513,008.64/707,950.44 = 286,654.32/x
  3. Step 3: Cross multiply
    513,008.64x = 707,950.44 × 286,654.32
  4. Step 4: Simplify right side
    513,008.64x = 202,937,051,971.90
  5. Step 5: Solve for x
    x = 202,937,051,971.90/513,008.64
  6. Step 6: Final answer
    x = 395,582.13

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1.5x scale

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.