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Finding the Fourth Proportional to 287,071.16, 430,698.93 and 87,430.16

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Solution

The fourth proportional to 287,071.16, 430,698.93 and 87,430.16 is: 131,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,071.16 : 430,698.93 = 87,430.16 : x
  2. Step 2: Convert to fraction form
    287,071.16/430,698.93 = 87,430.16/x
  3. Step 3: Cross multiply
    287,071.16x = 430,698.93 × 87,430.16
  4. Step 4: Simplify right side
    287,071.16x = 37,656,076,361.73
  5. Step 5: Solve for x
    x = 37,656,076,361.73/287,071.16
  6. Step 6: Final answer
    x = 131,173.32

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1.5x scale

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.