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Finding the Fourth Proportional to 577,206.40, 865,809.60 and 470,918.20

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Solution

The fourth proportional to 577,206.40, 865,809.60 and 470,918.20 is: 706,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,206.40 : 865,809.60 = 470,918.20 : x
  2. Step 2: Convert to fraction form
    577,206.40/865,809.60 = 470,918.20/x
  3. Step 3: Cross multiply
    577,206.40x = 865,809.60 × 470,918.20
  4. Step 4: Simplify right side
    577,206.40x = 407,725,498,374.72
  5. Step 5: Solve for x
    x = 407,725,498,374.72/577,206.40
  6. Step 6: Final answer
    x = 706,377.30

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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.