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Finding the Fourth Proportional to 512,994.64, 707,931.12 and 286,640.32

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Solution

The fourth proportional to 512,994.64, 707,931.12 and 286,640.32 is: 395,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,994.64 : 707,931.12 = 286,640.32 : x
  2. Step 2: Convert to fraction form
    512,994.64/707,931.12 = 286,640.32/x
  3. Step 3: Cross multiply
    512,994.64x = 707,931.12 × 286,640.32
  4. Step 4: Simplify right side
    512,994.64x = 202,921,602,774.76
  5. Step 5: Solve for x
    x = 202,921,602,774.76/512,994.64
  6. Step 6: Final answer
    x = 395,562.81

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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.