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Finding the Fourth Proportional to 513,416.88, 708,663.24 and 360,492.30

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Solution

The fourth proportional to 513,416.88, 708,663.24 and 360,492.30 is: 497,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,416.88 : 708,663.24 = 360,492.30 : x
  2. Step 2: Convert to fraction form
    513,416.88/708,663.24 = 360,492.30/x
  3. Step 3: Cross multiply
    513,416.88x = 708,663.24 × 360,492.30
  4. Step 4: Simplify right side
    513,416.88x = 255,467,641,313.05
  5. Step 5: Solve for x
    x = 255,467,641,313.05/513,416.88
  6. Step 6: Final answer
    x = 497,583.25

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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.