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Finding the Fourth Proportional to 405,008.10, 607,512.15 and 286,812.90

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Solution

The fourth proportional to 405,008.10, 607,512.15 and 286,812.90 is: 430,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,008.10 : 607,512.15 = 286,812.90 : x
  2. Step 2: Convert to fraction form
    405,008.10/607,512.15 = 286,812.90/x
  3. Step 3: Cross multiply
    405,008.10x = 607,512.15 × 286,812.90
  4. Step 4: Simplify right side
    405,008.10x = 174,242,321,526.74
  5. Step 5: Solve for x
    x = 174,242,321,526.74/405,008.10
  6. Step 6: Final answer
    x = 430,219.35

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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.