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Finding the Fourth Proportional to 475,515.84, 656,220 and 260,642.16

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Solution

The fourth proportional to 475,515.84, 656,220 and 260,642.16 is: 359,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,515.84 : 656,220 = 260,642.16 : x
  2. Step 2: Convert to fraction form
    475,515.84/656,220 = 260,642.16/x
  3. Step 3: Cross multiply
    475,515.84x = 656,220 × 260,642.16
  4. Step 4: Simplify right side
    475,515.84x = 171,038,598,235.20
  5. Step 5: Solve for x
    x = 171,038,598,235.20/475,515.84
  6. Step 6: Final answer
    x = 359,690.64

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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.