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Finding the Fourth Proportional to 513,030.64, 707,981.16 and 286,676.14

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Solution

The fourth proportional to 513,030.64, 707,981.16 and 286,676.14 is: 395,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,030.64 : 707,981.16 = 286,676.14 : x
  2. Step 2: Convert to fraction form
    513,030.64/707,981.16 = 286,676.14/x
  3. Step 3: Cross multiply
    513,030.64x = 707,981.16 × 286,676.14
  4. Step 4: Simplify right side
    513,030.64x = 202,961,306,141.52
  5. Step 5: Solve for x
    x = 202,961,306,141.52/513,030.64
  6. Step 6: Final answer
    x = 395,612.45

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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.