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Finding the Fourth Proportional to 472,766.68, 708,107.46 and 390,782.68

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Solution

The fourth proportional to 472,766.68, 708,107.46 and 390,782.68 is: 585,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,766.68 : 708,107.46 = 390,782.68 : x
  2. Step 2: Convert to fraction form
    472,766.68/708,107.46 = 390,782.68/x
  3. Step 3: Cross multiply
    472,766.68x = 708,107.46 × 390,782.68
  4. Step 4: Simplify right side
    472,766.68x = 276,716,130,946.79
  5. Step 5: Solve for x
    x = 276,716,130,946.79/472,766.68
  6. Step 6: Final answer
    x = 585,312.25

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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.