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Finding the Fourth Proportional to 570,376.40, 856,831.80 and 477,064.40

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Solution

The fourth proportional to 570,376.40, 856,831.80 and 477,064.40 is: 716,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,376.40 : 856,831.80 = 477,064.40 : x
  2. Step 2: Convert to fraction form
    570,376.40/856,831.80 = 477,064.40/x
  3. Step 3: Cross multiply
    570,376.40x = 856,831.80 × 477,064.40
  4. Step 4: Simplify right side
    570,376.40x = 408,763,948,567.92
  5. Step 5: Solve for x
    x = 408,763,948,567.92/570,376.40
  6. Step 6: Final answer
    x = 716,656.49

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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.