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Finding the Fourth Proportional to 648,712.40, 973,068.60 and 470,382.80

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Solution

The fourth proportional to 648,712.40, 973,068.60 and 470,382.80 is: 705,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,712.40 : 973,068.60 = 470,382.80 : x
  2. Step 2: Convert to fraction form
    648,712.40/973,068.60 = 470,382.80/x
  3. Step 3: Cross multiply
    648,712.40x = 973,068.60 × 470,382.80
  4. Step 4: Simplify right side
    648,712.40x = 457,714,732,660.08
  5. Step 5: Solve for x
    x = 457,714,732,660.08/648,712.40
  6. Step 6: Final answer
    x = 705,574.20

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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.