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Finding the Fourth Proportional to 577,217.40, 865,826.10 and 470,929.20

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Solution

The fourth proportional to 577,217.40, 865,826.10 and 470,929.20 is: 706,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,217.40 : 865,826.10 = 470,929.20 : x
  2. Step 2: Convert to fraction form
    577,217.40/865,826.10 = 470,929.20/x
  3. Step 3: Cross multiply
    577,217.40x = 865,826.10 × 470,929.20
  4. Step 4: Simplify right side
    577,217.40x = 407,742,792,612.12
  5. Step 5: Solve for x
    x = 407,742,792,612.12/577,217.40
  6. Step 6: Final answer
    x = 706,393.80

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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.