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Finding the Fourth Proportional to 565,512.10, 780,386.90 and 310,861.46

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Solution

The fourth proportional to 565,512.10, 780,386.90 and 310,861.46 is: 428,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512.10 : 780,386.90 = 310,861.46 : x
  2. Step 2: Convert to fraction form
    565,512.10/780,386.90 = 310,861.46/x
  3. Step 3: Cross multiply
    565,512.10x = 780,386.90 × 310,861.46
  4. Step 4: Simplify right side
    565,512.10x = 242,592,211,495.53
  5. Step 5: Solve for x
    x = 242,592,211,495.53/565,512.10
  6. Step 6: Final answer
    x = 428,977.93

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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.