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Finding the Fourth Proportional to 405,122.60, 607,683.90 and 286,927.40

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Solution

The fourth proportional to 405,122.60, 607,683.90 and 286,927.40 is: 430,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,122.60 : 607,683.90 = 286,927.40 : x
  2. Step 2: Convert to fraction form
    405,122.60/607,683.90 = 286,927.40/x
  3. Step 3: Cross multiply
    405,122.60x = 607,683.90 × 286,927.40
  4. Step 4: Simplify right side
    405,122.60x = 174,361,161,448.86
  5. Step 5: Solve for x
    x = 174,361,161,448.86/405,122.60
  6. Step 6: Final answer
    x = 430,391.10

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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.