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Finding the Fourth Proportional to 685,599.24, 946,014.48 and 430,770

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Solution

The fourth proportional to 685,599.24, 946,014.48 and 430,770 is: 594,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,599.24 : 946,014.48 = 430,770 : x
  2. Step 2: Convert to fraction form
    685,599.24/946,014.48 = 430,770/x
  3. Step 3: Cross multiply
    685,599.24x = 946,014.48 × 430,770
  4. Step 4: Simplify right side
    685,599.24x = 407,514,657,549.60
  5. Step 5: Solve for x
    x = 407,514,657,549.60/685,599.24
  6. Step 6: Final answer
    x = 594,391.93

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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.