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Finding the Fourth Proportional to 513,312.64, 708,260.16 and 286,950.40

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Solution

The fourth proportional to 513,312.64, 708,260.16 and 286,950.40 is: 395,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,312.64 : 708,260.16 = 286,950.40 : x
  2. Step 2: Convert to fraction form
    513,312.64/708,260.16 = 286,950.40/x
  3. Step 3: Cross multiply
    513,312.64x = 708,260.16 × 286,950.40
  4. Step 4: Simplify right side
    513,312.64x = 203,235,536,216.06
  5. Step 5: Solve for x
    x = 203,235,536,216.06/513,312.64
  6. Step 6: Final answer
    x = 395,929.34

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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.