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Finding the Fourth Proportional to 584,585.60, 876,878.40 and 407,638.40

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Solution

The fourth proportional to 584,585.60, 876,878.40 and 407,638.40 is: 611,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,585.60 : 876,878.40 = 407,638.40 : x
  2. Step 2: Convert to fraction form
    584,585.60/876,878.40 = 407,638.40/x
  3. Step 3: Cross multiply
    584,585.60x = 876,878.40 × 407,638.40
  4. Step 4: Simplify right side
    584,585.60x = 357,449,307,970.56
  5. Step 5: Solve for x
    x = 357,449,307,970.56/584,585.60
  6. Step 6: Final answer
    x = 611,457.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.