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Finding the Fourth Proportional to 575,746.49, 864,368.10 and 442,720.16

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Solution

The fourth proportional to 575,746.49, 864,368.10 and 442,720.16 is: 664,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,746.49 : 864,368.10 = 442,720.16 : x
  2. Step 2: Convert to fraction form
    575,746.49/864,368.10 = 442,720.16/x
  3. Step 3: Cross multiply
    575,746.49x = 864,368.10 × 442,720.16
  4. Step 4: Simplify right side
    575,746.49x = 382,673,183,530.90
  5. Step 5: Solve for x
    x = 382,673,183,530.90/575,746.49
  6. Step 6: Final answer
    x = 664,655.70

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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.