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Finding the Fourth Proportional to 280,783.50, 387,475.48 and 153,460.02

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Solution

The fourth proportional to 280,783.50, 387,475.48 and 153,460.02 is: 211,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,783.50 : 387,475.48 = 153,460.02 : x
  2. Step 2: Convert to fraction form
    280,783.50/387,475.48 = 153,460.02/x
  3. Step 3: Cross multiply
    280,783.50x = 387,475.48 × 153,460.02
  4. Step 4: Simplify right side
    280,783.50x = 59,461,994,910.31
  5. Step 5: Solve for x
    x = 59,461,994,910.31/280,783.50
  6. Step 6: Final answer
    x = 211,771.68

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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.