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Finding the Fourth Proportional to 512,303.28, 707,017.32 and 282,904.26

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Solution

The fourth proportional to 512,303.28, 707,017.32 and 282,904.26 is: 390,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,303.28 : 707,017.32 = 282,904.26 : x
  2. Step 2: Convert to fraction form
    512,303.28/707,017.32 = 282,904.26/x
  3. Step 3: Cross multiply
    512,303.28x = 707,017.32 × 282,904.26
  4. Step 4: Simplify right side
    512,303.28x = 200,018,211,721.78
  5. Step 5: Solve for x
    x = 200,018,211,721.78/512,303.28
  6. Step 6: Final answer
    x = 390,429.30

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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.