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Finding the Fourth Proportional to 430,684.80, 594,339.10 and 239,698.16

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Solution

The fourth proportional to 430,684.80, 594,339.10 and 239,698.16 is: 330,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,684.80 : 594,339.10 = 239,698.16 : x
  2. Step 2: Convert to fraction form
    430,684.80/594,339.10 = 239,698.16/x
  3. Step 3: Cross multiply
    430,684.80x = 594,339.10 × 239,698.16
  4. Step 4: Simplify right side
    430,684.80x = 142,461,988,686.06
  5. Step 5: Solve for x
    x = 142,461,988,686.06/430,684.80
  6. Step 6: Final answer
    x = 330,780.16

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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.