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Finding the Fourth Proportional to 520,106.40, 778,847.40 and 415,130.40

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Solution

The fourth proportional to 520,106.40, 778,847.40 and 415,130.40 is: 621,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,106.40 : 778,847.40 = 415,130.40 : x
  2. Step 2: Convert to fraction form
    520,106.40/778,847.40 = 415,130.40/x
  3. Step 3: Cross multiply
    520,106.40x = 778,847.40 × 415,130.40
  4. Step 4: Simplify right side
    520,106.40x = 323,323,232,700.96
  5. Step 5: Solve for x
    x = 323,323,232,700.96/520,106.40
  6. Step 6: Final answer
    x = 621,648.25

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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.