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Finding the Fourth Proportional to 413,518.40, 570,587.14 and 243,785.32

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Solution

The fourth proportional to 413,518.40, 570,587.14 and 243,785.32 is: 336,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,518.40 : 570,587.14 = 243,785.32 : x
  2. Step 2: Convert to fraction form
    413,518.40/570,587.14 = 243,785.32/x
  3. Step 3: Cross multiply
    413,518.40x = 570,587.14 × 243,785.32
  4. Step 4: Simplify right side
    413,518.40x = 139,100,768,512.79
  5. Step 5: Solve for x
    x = 139,100,768,512.79/413,518.40
  6. Step 6: Final answer
    x = 336,383.50

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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.