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Finding the Fourth Proportional to 513,030.14, 707,980.47 and 286,675.64

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Solution

The fourth proportional to 513,030.14, 707,980.47 and 286,675.64 is: 395,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,030.14 : 707,980.47 = 286,675.64 : x
  2. Step 2: Convert to fraction form
    513,030.14/707,980.47 = 286,675.64/x
  3. Step 3: Cross multiply
    513,030.14x = 707,980.47 × 286,675.64
  4. Step 4: Simplify right side
    513,030.14x = 202,960,754,344.75
  5. Step 5: Solve for x
    x = 202,960,754,344.75/513,030.14
  6. Step 6: Final answer
    x = 395,611.76

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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.