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Finding the Fourth Proportional to 570,378.24, 787,088.16 and 315,714.24

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Solution

The fourth proportional to 570,378.24, 787,088.16 and 315,714.24 is: 435,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,378.24 : 787,088.16 = 315,714.24 : x
  2. Step 2: Convert to fraction form
    570,378.24/787,088.16 = 315,714.24/x
  3. Step 3: Cross multiply
    570,378.24x = 787,088.16 × 315,714.24
  4. Step 4: Simplify right side
    570,378.24x = 248,494,940,247.40
  5. Step 5: Solve for x
    x = 248,494,940,247.40/570,378.24
  6. Step 6: Final answer
    x = 435,666.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.