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Finding the Fourth Proportional to 513,290.04, 708,384.06 and 298,416.48

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Solution

The fourth proportional to 513,290.04, 708,384.06 and 298,416.48 is: 411,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,290.04 : 708,384.06 = 298,416.48 : x
  2. Step 2: Convert to fraction form
    513,290.04/708,384.06 = 298,416.48/x
  3. Step 3: Cross multiply
    513,290.04x = 708,384.06 × 298,416.48
  4. Step 4: Simplify right side
    513,290.04x = 211,393,477,673.31
  5. Step 5: Solve for x
    x = 211,393,477,673.31/513,290.04
  6. Step 6: Final answer
    x = 411,840.21

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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.